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Finding the Fourth Proportional to 1,067.12, 1,472.04 and 647.60

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Solution

The fourth proportional to 1,067.12, 1,472.04 and 647.60 is: 893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.12 : 1,472.04 = 647.60 : x
  2. Step 2: Convert to fraction form
    1,067.12/1,472.04 = 647.60/x
  3. Step 3: Cross multiply
    1,067.12x = 1,472.04 × 647.60
  4. Step 4: Simplify right side
    1,067.12x = 953,293.10
  5. Step 5: Solve for x
    x = 953,293.10/1,067.12
  6. Step 6: Final answer
    x = 893.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.